Precision measurement of the matrix elements for $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $\eta \to {\pi }^0{\pi }^0{\pi }^0$ decays

Abstract

A precision measurement of the matrix elements for $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $\eta \to {\pi }^0{\pi }^0{\pi }^0$ decays is performed using a sample of $(10087\pm 44)\times 10^6$ $J/\psi$ decays collected with the BESIII detector. The decay $J/\psi \to \gamma \eta$ is used to select clean samples of 631,686 $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ decays and 272,322 $\eta \to {\pi }^0{\pi }^0{\pi }^0$ decays. The matrix elements for both channels are in reasonable agreement with previous measurements. The non-zero $g{X}^{2}Y$ term for the decay mode $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ is confirmed, as reported by the KLOE Collaboration, while the other higher-order terms are found to be insignificant. Dalitz plot asymmetries in the $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ decay are also explored and are found to be consistent with charge conjugation invariance. In addition, a cusp effect is investigated in the $\eta \to {\pi }^0{\pi }^0{\pi }^0$ decay, and no obvious structure around the ${\pi }^{+}{\pi }^{-}$ mass threshold is observed.

13 pages, 6 figures

References in corpus (11)

• Method for detector description transformation to Unity and application in BESIII
• $\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory
• Number of $J/\psi$ events at BESIII
• Cusps in K_L --> 3 pi decays
• The decay $\eta \to 3\pi$: study of the Dalitz plot and extraction of the quark mass ratio $Q$
• Rescattering effects in eta {\to} 3pi decays
• The cusp effect in eta' --> eta pi pi decays
• Measurement of the $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot distribution
• Determination of $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot slopes and asymmetries with the KLOE detector
• Patterns of $C$- and $CP$-violation in hadronic $\eta$ and ${\eta }^{\prime }$ three-body decays
• Evidence for the Cusp Effect in ${\eta }^{\prime }$ Decays into $\eta {\pi }^0{\pi }^0$

Cited by in corpus (4)

• Search for the light hadron decay ${\chi }_{c1}(3872)\to {\pi }^{+}{\pi }^{-}\eta$
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Observation of $\bar{\Lambda }p\to K^{+}{\pi }^{+}{\pi }^{-}{\pi }^0$ and $\bar{\Lambda }p\to K^{+}{\pi }^{+}{\pi }^{-}2{\pi }^0$